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Finding the Fourth Proportional to 424.12, 584.58 and 307.48

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Solution

The fourth proportional to 424.12, 584.58 and 307.48 is: 423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 584.58 = 307.48 : x
  2. Step 2: Convert to fraction form
    424.12/584.58 = 307.48/x
  3. Step 3: Cross multiply
    424.12x = 584.58 × 307.48
  4. Step 4: Simplify right side
    424.12x = 179,746.66
  5. Step 5: Solve for x
    x = 179,746.66/424.12
  6. Step 6: Final answer
    x = 423.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.